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Finding the Fourth Proportional to 172,498.46, 258,732.86 and 105,012.97

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Solution

The fourth proportional to 172,498.46, 258,732.86 and 105,012.97 is: 157,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,498.46 : 258,732.86 = 105,012.97 : x
  2. Step 2: Convert to fraction form
    172,498.46/258,732.86 = 105,012.97/x
  3. Step 3: Cross multiply
    172,498.46x = 258,732.86 × 105,012.97
  4. Step 4: Simplify right side
    172,498.46x = 27,170,306,065.19
  5. Step 5: Solve for x
    x = 27,170,306,065.19/172,498.46
  6. Step 6: Final answer
    x = 157,510.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.